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Explanation of Detailed Balance in Horava-Lifshitz Gravity?

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In standard Monte Carlo simulations there is a notion of detailed balance . Also in Horava-Lifshitz gravity there is a notion of detailed balance that appears superficially to be unrelated to the Monte Carlo definition. I was wondering what is the relation between the two notions?

Interesting, I know the detailled balance only from some nonequilibrium statistical issues. Can you say a bit more about what it is used for in Monte Carlo simulations and in particular how it appears in Horava-Lifshitz gravity?

I've been trying to find the answer to this question too. In Markov Chain Monte Carlo simulations different configurations are generated by a Markov Chain (usually one step) and detailed balance is used as it guarantees the convergence of the probability distributions for the configurations to the correct Boltzmann weights. As for H-L gravity, in Horava's original paper (http://arxiv.org/pdf/0901.3775v2.pdf), he introduces a restriction he calls detailed balance which he states means the potential must be derivable from some superpotential (page 10 of his paper). I guess the question (and my question) is what is the relation between this and detailed balance in any other context?

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